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Vika [28.1K]
2 years ago
10

Suppose two angles of one triangle are congruent to two angles of another triangle. Using

Mathematics
1 answer:
Blababa [14]2 years ago
6 0

Answer:

عربيععربيعربيع   ربيعربيعربيعربي

Step-by-step explanation:

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To rationalize the denominator of (5-\sqrt(7))/(9-\sqrt(14)) , you should multiply the expression by which fraction?
statuscvo [17]
You would multiply by 

\frac{9+\sqrt{14}}{9+\sqrt{14}}.

When you rationalize the denominator, you multiply by the conjugate of the denominator.  The conjugate is the same numbers and radicals, but with the sign of the radical switched.
4 0
3 years ago
Read 2 more answers
Need Help
grigory [225]
<h3>Answer:  Approximately 191 bees</h3>

================================================

Work Shown:

One way to express exponential form is to use

y = a*b^x

where 'a' is the initial value and 'b' is linked to the growth rate.

Since we're told 34 bees are there initially, we know a = 34.

Then after 4 days, we have 48 bees. So we can say,

y = a*b^x

y = 34*b^x

48 = 34*b^4

48/34 = b^4

24/17 = b^4

b^4 = 24/17

b = (24/17)^(1/4)

b = 1.090035

Which is approximate.

The function updates to

y = a*b^x

y = 34*(1.090035)^x

------------------------

As a way to check to see if we have the right function, plug in x = 0 and we find:

y = 34*(1.090035)^x

y = 34*(1.090035)^0

y = 34*(1)

y = 34

So there are 34 bees on day 0, ie the starting day.

Plug in x = 4

y = 34*(1.090035)^x

y = 34*(1.090035)^4

y = 34*1.4117629

y = 47.9999386

Due to rounding error we don't land on 48 exactly, but we can round to this value.

We see that after 4 days, there are 48 bees.

So we confirmed the correct exponential function.

------------------------

At this point we can find out how many bees there are expected to be after 20 days.

Plug in x = 20 to get

y = 34*(1.090035)^x

y = 34*(1.090035)^20

y = 190.672374978452

Round to the nearest whole number to get 191.

There are expected to be roughly 191 bees on day 20.

4 0
3 years ago
4x+12=−2x<br><br> i need help my stoopid math teacher is mean...
ehidna [41]

Answer:

-2=x

Step-by-step explanation:

4x+12=-2x

Subtract 4x on both sides

12=-6x

Divided by -6 on both sides

-2=x

3 0
3 years ago
Mrs. Cisneros earns $300 per week if she works exactly 40 hours. She earns $12 for each additional hour beyond 40 hours. Which i
lys-0071 [83]

Answer:

300+ 12h=450

12h=150

h=12.5

Step-by-step explanation:

7 0
2 years ago
Value<br>5. What per cent of 84 is 14?​
galben [10]
14/84 x100 =. 1/6 x 100 = 16.66%
4 0
3 years ago
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